We have demonstrated the benefit of
symmetric matrix solver (SMS), partial matrix solver (PMS) and iterative matrix solver(IMS) for filter design in example 20. We will demonstrate the
application of SMS and IMS for antenna array simulation. We will use the
coupled-fed circular patch antenna in example 8 as our example. An 8-element
array with spacing of 50 mm is shown in Figure 21.1. A speed comparison is
shown in Table 21.1. We observed speed improvement over 500% on the IMS over the
SMS. The magnitudes of the s-parameters of the 8-element array is shown in
Figure 21.2. The maximum element-to-element coupling is about -15 dB.The radiation pattern of the 8-element array with uniform excitation,
considering the coupling between elements, is shown in Figure 21.3. On the IE3D,
you can calculate the array radiation pattern based upon the simulation on one
single element. In such a case, we neglect the coupling effect between elements. Surprisingly, the array radiation pattern based upon single
element radiation pattern and the array factor is almost identical to the one
shown in Figure 21.3. What it means is that the element-to-element coupling
does not have significant effect to the radiation pattern for this particular structure.

Figure 21.1 An 8-element coupled fed
circular patch array. Table 20.1 Speed comparison between the SMS and IMS
for arrays with different number of elements (Pentium 133)
| Number of Elements |
1 | 2 | 4 | 8 | | Number of Unknowns | 250 | 500 | 1000 | 2000 | | FMS: sec/freq | 20 | 91 | 735 | 6778 | | IMS: sec/freq | 27 | 65 | 211 | 1136 |

Figure 21.2 An 8-element coupled fed
circular patch array.

Figure 21.3 The radiation pattern of the 8-elementarray. |